45057 has 8 divisors (see below), whose sum is σ = 62784. Its totient is φ = 28688.

The previous prime is 45053. The next prime is 45061. The reversal of 45057 is 75054.

It is an interprime number because it is at equal distance from previous prime (45053) and next prime (45061).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 45057 - 2² = 45053 is a prime.

45057 is a lucky number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (45053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (7848).

It is a Proth number, since it is equal to 11 ⋅ 2¹² + 1 and 11 < 2¹².

2⁴⁵⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

45057 is a deficient number, since it is larger than the sum of its proper divisors (17727).

45057 is a wasteful number, since it uses less digits than its factorization.

45057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 45057 is about 212.2663421271. The cubic root of 45057 is about 35.5839447024.

The spelling of 45057 in words is "forty-five thousand, fifty-seven".